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Algorithmic Methods in Non-Commutative Algebra

Name: Algorithmic Methods in Non-Commutative Algebra
Brand: Springer Netherlands
SKU: 01415298
Price: 58.32 EUR
Availability: InStock
Author: J.L. Bueso
ISBN: 9781402014024

Applications to Quantum Groups

J.L. Bueso

José Gómez-Torrecillas

A. Verschoren

Language

English

Book Hardback

Libristo code: 01415298

Publishers Springer Netherlands, November 2002

The already broad range of applications of ring theory has been enhanced in the eighties by the incr... Full description

Libristo code: 01415298

141 b

58.32 €

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The already broad range of applications of ring theory has been enhanced in the eighties by the increasing interest in algebraic structures of considerable complexity, the so-called class of quantum groups. One of the fundamental properties of quantum groups is that they are modelled by associative coordinate rings possessing a canonical basis, which allows for the use of algorithmic structures based on Groebner bases to study them. This book develops these methods in a self-contained way, concentrating on an in-depth study of the notion of a vast class of non-commutative rings (encompassing most quantum groups), the so-called Poincare-Birkhoff-Witt rings. We include algorithms which treat essential aspects like ideals and (bi)modules, the calculation of homological dimension and of the Gelfand-Kirillov dimension, the Hilbert-Samuel polynomial, primality tests for prime ideals, etc.